1021121201001 has 16 divisors (see below), whose sum is σ = 1499972822208. Its totient is φ = 612733992000.

The previous prime is 1021121200991. The next prime is 1021121201029. The reversal of 1021121201001 is 1001021211201.

It is not a de Polignac number, because 1021121201001 - 2¹³ = 1021121192809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1021121201801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153180166 + ... + 153186831.

It is an arithmetic number, because the mean of its divisors is an integer number (93748301388).

Almost surely, 2^{1021121201001} is an apocalyptic number.

1021121201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1021121201001 is a deficient number, since it is larger than the sum of its proper divisors (478851621207).

1021121201001 is a wasteful number, since it uses less digits than its factorization.

1021121201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306367112.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1021121201001 its reverse (1001021211201), we get a palindrome (2022142412202).

It can be divided in two parts, 10211 and 21201001, that added together give a palindrome (21211212).

The spelling of 1021121201001 in words is "one trillion, twenty-one billion, one hundred twenty-one million, two hundred one thousand, one".